Greatest Common Factor of 775/72, 755/20, 200/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 775/72, 755/20, 200/388

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 775/72,755/20,200/388

Given fractions are 775/72,755/20,200/388

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 775,755,200

Greatest Common Factor of Numerators i.e. GCF of 775,755,200 is 5 .

LCM of Denominators means LCM of 72,20,388 as per the given fractions.

LCM of 72,20,388 is 34920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 775,755,200

GCF of Fractions 775/72,755/20,200/388 is 5/34920

5 775, 755, 200
155, 151, 40

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 775,755,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,755,200 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 775,755,200 . The biggest common factor number is the GCF number.
So the greatest common factor 775,755,200 is 5.

Lets's calculate LCM of 72,20,388

2 72, 20, 388
2 36, 10, 194
18, 5, 97

∴ So the LCM of the given numbers is 2 x 2 x 18 x 5 x 97 = 34920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/34920

Therefore, the GCF of Fractions 775/72,755/20,200/388 is 5/34920

Least Common Multiple of 72,20,388 with GCF Formula

Least Common Multiple of 72,20,388 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 72,20,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,20,388) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(72,20,388) x common factors =4 x 4 = 16

LCM(72,20,388) = ( 72 × 20 × 388 ) / 16

LCM(72,20,388) = 558720 / 16

LCM(72,20,388) = 34920


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 775/72, 755/20, 200/388

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 775/72, 755/20, 200/388?

Answer: GCF of Numerators as per given numbers 775/72, 755/20, 200/388 is

GCF of Numerators i.e. for 775,755,200 is 5

LCM of denominators i.e. for 72,20,388 is 34920.

Thus, GCF of Fractions is 5/34920.Finally, GCF of Fractions for 775/72, 755/20, 200/388 is 5/34920.